N.S.B. Cosmic Center

NSBL-QF-014 The Divergence-Free Effective Action for a Scalar Field Theory

Abstract
We give detailed computations and results of the application of our divergence-free framework for quantum field theory to a scalar field model with quartic coupling. Computations up to two loops are illustrated, and expressions for the renormalized mass and coupling parameters are obtained. It is shown how it is possible to obtain a divergence-free effective action. Moreover, the ambiguous logarithmic mass contributions of conventional renormalization theory are fixed perturbatively in favour of a well-defined vacuum that is consistent with flat-space perturbative quantization.

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